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Finding the Fourth Proportional to 6,631.47, 9,947.12 and 1,701.09

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Solution

The fourth proportional to 6,631.47, 9,947.12 and 1,701.09 is: 2,551.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,631.47 : 9,947.12 = 1,701.09 : x
  2. Step 2: Convert to fraction form
    6,631.47/9,947.12 = 1,701.09/x
  3. Step 3: Cross multiply
    6,631.47x = 9,947.12 × 1,701.09
  4. Step 4: Simplify right side
    6,631.47x = 16,920,937.86
  5. Step 5: Solve for x
    x = 16,920,937.86/6,631.47
  6. Step 6: Final answer
    x = 2,551.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.